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Finding the Fourth Proportional to 378,673.30, 567,468.60 and 278,043.94

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Solution

The fourth proportional to 378,673.30, 567,468.60 and 278,043.94 is: 416,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,673.30 : 567,468.60 = 278,043.94 : x
  2. Step 2: Convert to fraction form
    378,673.30/567,468.60 = 278,043.94/x
  3. Step 3: Cross multiply
    378,673.30x = 567,468.60 × 278,043.94
  4. Step 4: Simplify right side
    378,673.30x = 157,781,205,370.28
  5. Step 5: Solve for x
    x = 157,781,205,370.28/378,673.30
  6. Step 6: Final answer
    x = 416,668.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.